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2114367703248 = 243234345499791
BaseRepresentation
bin11110110001001010001…
…000101100100011010000
321111010112220212010211010
4132301022020230203100
5234120211113000443
64255154353450520
7305521000641153
oct36611210544320
97433486763733
102114367703248
117457754a0aa9
122a1941570a40
131244cb8c6a68
147449bb81c9a
1539eed77e733
hex1ec4a22c8d0

2114367703248 has 160 divisors (see below), whose sum is σ = 5834026598400. Its totient is φ = 658256417280.

The previous prime is 2114367703229. The next prime is 2114367703307. The reversal of 2114367703248 is 8423077634112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2114367703197 and 2114367703206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215945233 + ... + 215955023.

It is an arithmetic number, because the mean of its divisors is an integer number (36462666240).

Almost surely, 22114367703248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114367703248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917013299200).

2114367703248 is an abundant number, since it is smaller than the sum of its proper divisors (3719658895152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2114367703248 is a wasteful number, since it uses less digits than its factorization.

2114367703248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417 (or 14411 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 2114367703248 in words is "two trillion, one hundred fourteen billion, three hundred sixty-seven million, seven hundred three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 43 46 48 69 86 92 129 138 172 184 258 276 344 368 516 552 688 989 1032 1104 1978 2064 2967 3956 4549 5934 7912 9098 9791 11868 13647 15824 18196 19582 23736 27294 29373 36392 39164 47472 54588 58746 72784 78328 104627 109176 117492 156656 195607 209254 218352 225193 234984 313881 391214 418508 421013 450386 469968 586821 627762 675579 782428 837016 842026 900772 1173642 1255524 1263039 1351158 1564856 1674032 1684052 1801544 2347284 2511048 2526078 2702316 3129712 3368104 3603088 4498961 4694568 5022096 5052156 5404632 6736208 8997922 9389136 9683299 10104312 10809264 13496883 17995844 19366598 20208624 26993766 29049897 35991688 38733196 44539259 53987532 58099794 71983376 77466392 89078518 107975064 116199588 133617777 154932784 178157036 215950128 232399176 267235554 356314072 464798352 534471108 712628144 1024402957 1068942216 1915188137 2048805914 2137884432 3073208871 3830376274 4097611828 5745564411 6146417742 7660752548 8195223656 11491128822 12292835484 15321505096 16390447312 22982257644 24585670968 30643010192 44049327151 45964515288 49171341936 88098654302 91929030576 132147981453 176197308604 264295962906 352394617208 528591925812 704789234416 1057183851624 2114367703248